TSTP Solution File: GEO094+1 by Vampire---4.9
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : GEO094+1 : TPTP v8.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 06:25:12 EDT 2024
% Result : Theorem 0.23s 0.50s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 24
% Syntax : Number of formulae : 105 ( 17 unt; 0 def)
% Number of atoms : 443 ( 0 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 521 ( 183 ~; 175 |; 125 &)
% ( 25 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 19 ( 18 usr; 14 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 176 ( 146 !; 30 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3140,plain,
$false,
inference(avatar_sat_refutation,[],[f148,f153,f158,f163,f177,f183,f556,f687,f886,f887,f1635,f1684,f2678,f3139]) ).
fof(f3139,plain,
( spl17_73
| ~ spl17_2
| spl17_76
| ~ spl17_7
| ~ spl17_118 ),
inference(avatar_split_clause,[],[f3130,f2676,f180,f1578,f150,f1564]) ).
fof(f1564,plain,
( spl17_73
<=> part_of(sK2,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_73])]) ).
fof(f150,plain,
( spl17_2
<=> part_of(sK2,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_2])]) ).
fof(f1578,plain,
( spl17_76
<=> part_of(sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_76])]) ).
fof(f180,plain,
( spl17_7
<=> incident_c(sK3,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_7])]) ).
fof(f2676,plain,
( spl17_118
<=> ! [X0] :
( part_of(X0,sK1)
| part_of(sK1,X0)
| ~ part_of(X0,sK0)
| ~ incident_c(sK3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_118])]) ).
fof(f3130,plain,
( part_of(sK1,sK2)
| ~ part_of(sK2,sK0)
| part_of(sK2,sK1)
| ~ spl17_7
| ~ spl17_118 ),
inference(resolution,[],[f2677,f182]) ).
fof(f182,plain,
( incident_c(sK3,sK2)
| ~ spl17_7 ),
inference(avatar_component_clause,[],[f180]) ).
fof(f2677,plain,
( ! [X0] :
( ~ incident_c(sK3,X0)
| part_of(sK1,X0)
| ~ part_of(X0,sK0)
| part_of(X0,sK1) )
| ~ spl17_118 ),
inference(avatar_component_clause,[],[f2676]) ).
fof(f2678,plain,
( ~ spl17_3
| spl17_118
| ~ spl17_1
| ~ spl17_6 ),
inference(avatar_split_clause,[],[f2671,f174,f145,f2676,f155]) ).
fof(f155,plain,
( spl17_3
<=> part_of(sK1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_3])]) ).
fof(f145,plain,
( spl17_1
<=> end_point(sK3,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_1])]) ).
fof(f174,plain,
( spl17_6
<=> incident_c(sK3,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_6])]) ).
fof(f2671,plain,
( ! [X0] :
( part_of(X0,sK1)
| ~ incident_c(sK3,X0)
| ~ part_of(sK1,sK0)
| ~ part_of(X0,sK0)
| part_of(sK1,X0) )
| ~ spl17_1
| ~ spl17_6 ),
inference(resolution,[],[f692,f176]) ).
fof(f176,plain,
( incident_c(sK3,sK1)
| ~ spl17_6 ),
inference(avatar_component_clause,[],[f174]) ).
fof(f692,plain,
( ! [X0,X1] :
( ~ incident_c(sK3,X1)
| part_of(X0,X1)
| ~ incident_c(sK3,X0)
| ~ part_of(X1,sK0)
| ~ part_of(X0,sK0)
| part_of(X1,X0) )
| ~ spl17_1 ),
inference(resolution,[],[f114,f147]) ).
fof(f147,plain,
( end_point(sK3,sK0)
| ~ spl17_1 ),
inference(avatar_component_clause,[],[f145]) ).
fof(f114,plain,
! [X0,X1,X4,X5] :
( ~ end_point(X0,X1)
| part_of(X4,X5)
| ~ incident_c(X0,X5)
| ~ incident_c(X0,X4)
| ~ part_of(X5,X1)
| ~ part_of(X4,X1)
| part_of(X5,X4) ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0,X1] :
( ( end_point(X0,X1)
| ( ~ part_of(sK13(X0,X1),sK12(X0,X1))
& ~ part_of(sK12(X0,X1),sK13(X0,X1))
& incident_c(X0,sK13(X0,X1))
& incident_c(X0,sK12(X0,X1))
& part_of(sK13(X0,X1),X1)
& part_of(sK12(X0,X1),X1) )
| ~ incident_c(X0,X1) )
& ( ( ! [X4,X5] :
( part_of(X5,X4)
| part_of(X4,X5)
| ~ incident_c(X0,X5)
| ~ incident_c(X0,X4)
| ~ part_of(X5,X1)
| ~ part_of(X4,X1) )
& incident_c(X0,X1) )
| ~ end_point(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12,sK13])],[f78,f79]) ).
fof(f79,plain,
! [X0,X1] :
( ? [X2,X3] :
( ~ part_of(X3,X2)
& ~ part_of(X2,X3)
& incident_c(X0,X3)
& incident_c(X0,X2)
& part_of(X3,X1)
& part_of(X2,X1) )
=> ( ~ part_of(sK13(X0,X1),sK12(X0,X1))
& ~ part_of(sK12(X0,X1),sK13(X0,X1))
& incident_c(X0,sK13(X0,X1))
& incident_c(X0,sK12(X0,X1))
& part_of(sK13(X0,X1),X1)
& part_of(sK12(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f78,plain,
! [X0,X1] :
( ( end_point(X0,X1)
| ? [X2,X3] :
( ~ part_of(X3,X2)
& ~ part_of(X2,X3)
& incident_c(X0,X3)
& incident_c(X0,X2)
& part_of(X3,X1)
& part_of(X2,X1) )
| ~ incident_c(X0,X1) )
& ( ( ! [X4,X5] :
( part_of(X5,X4)
| part_of(X4,X5)
| ~ incident_c(X0,X5)
| ~ incident_c(X0,X4)
| ~ part_of(X5,X1)
| ~ part_of(X4,X1) )
& incident_c(X0,X1) )
| ~ end_point(X0,X1) ) ),
inference(rectify,[],[f77]) ).
fof(f77,plain,
! [X0,X1] :
( ( end_point(X0,X1)
| ? [X2,X3] :
( ~ part_of(X3,X2)
& ~ part_of(X2,X3)
& incident_c(X0,X3)
& incident_c(X0,X2)
& part_of(X3,X1)
& part_of(X2,X1) )
| ~ incident_c(X0,X1) )
& ( ( ! [X2,X3] :
( part_of(X3,X2)
| part_of(X2,X3)
| ~ incident_c(X0,X3)
| ~ incident_c(X0,X2)
| ~ part_of(X3,X1)
| ~ part_of(X2,X1) )
& incident_c(X0,X1) )
| ~ end_point(X0,X1) ) ),
inference(flattening,[],[f76]) ).
fof(f76,plain,
! [X0,X1] :
( ( end_point(X0,X1)
| ? [X2,X3] :
( ~ part_of(X3,X2)
& ~ part_of(X2,X3)
& incident_c(X0,X3)
& incident_c(X0,X2)
& part_of(X3,X1)
& part_of(X2,X1) )
| ~ incident_c(X0,X1) )
& ( ( ! [X2,X3] :
( part_of(X3,X2)
| part_of(X2,X3)
| ~ incident_c(X0,X3)
| ~ incident_c(X0,X2)
| ~ part_of(X3,X1)
| ~ part_of(X2,X1) )
& incident_c(X0,X1) )
| ~ end_point(X0,X1) ) ),
inference(nnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1] :
( end_point(X0,X1)
<=> ( ! [X2,X3] :
( part_of(X3,X2)
| part_of(X2,X3)
| ~ incident_c(X0,X3)
| ~ incident_c(X0,X2)
| ~ part_of(X3,X1)
| ~ part_of(X2,X1) )
& incident_c(X0,X1) ) ),
inference(flattening,[],[f45]) ).
fof(f45,plain,
! [X0,X1] :
( end_point(X0,X1)
<=> ( ! [X2,X3] :
( part_of(X3,X2)
| part_of(X2,X3)
| ~ incident_c(X0,X3)
| ~ incident_c(X0,X2)
| ~ part_of(X3,X1)
| ~ part_of(X2,X1) )
& incident_c(X0,X1) ) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0,X1] :
( end_point(X0,X1)
<=> ( ! [X2,X3] :
( ( incident_c(X0,X3)
& incident_c(X0,X2)
& part_of(X3,X1)
& part_of(X2,X1) )
=> ( part_of(X3,X2)
| part_of(X2,X3) ) )
& incident_c(X0,X1) ) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X2,X0] :
( end_point(X2,X0)
<=> ( ! [X1,X3] :
( ( incident_c(X2,X3)
& incident_c(X2,X1)
& part_of(X3,X0)
& part_of(X1,X0) )
=> ( part_of(X3,X1)
| part_of(X1,X3) ) )
& incident_c(X2,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f1684,plain,
( spl17_46
| ~ spl17_76 ),
inference(avatar_split_clause,[],[f1646,f1578,f684]) ).
fof(f684,plain,
( spl17_46
<=> incident_c(sK6(sK1),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_46])]) ).
fof(f1646,plain,
( incident_c(sK6(sK1),sK2)
| ~ spl17_76 ),
inference(resolution,[],[f1580,f287]) ).
fof(f287,plain,
! [X0,X1] :
( ~ part_of(X0,X1)
| incident_c(sK6(X0),X1) ),
inference(resolution,[],[f121,f165]) ).
fof(f165,plain,
! [X0] : incident_c(sK6(X0),X0),
inference(resolution,[],[f110,f101]) ).
fof(f101,plain,
! [X0] : inner_point(sK6(X0),X0),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0] : inner_point(sK6(X0),X0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f22,f62]) ).
fof(f62,plain,
! [X0] :
( ? [X1] : inner_point(X1,X0)
=> inner_point(sK6(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f22,plain,
! [X0] :
? [X1] : inner_point(X1,X0),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X0] :
? [X2] : inner_point(X2,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f110,plain,
! [X0,X1] :
( ~ inner_point(X0,X1)
| incident_c(X0,X1) ),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0,X1] :
( ( inner_point(X0,X1)
| end_point(X0,X1)
| ~ incident_c(X0,X1) )
& ( ( ~ end_point(X0,X1)
& incident_c(X0,X1) )
| ~ inner_point(X0,X1) ) ),
inference(flattening,[],[f74]) ).
fof(f74,plain,
! [X0,X1] :
( ( inner_point(X0,X1)
| end_point(X0,X1)
| ~ incident_c(X0,X1) )
& ( ( ~ end_point(X0,X1)
& incident_c(X0,X1) )
| ~ inner_point(X0,X1) ) ),
inference(nnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0,X1] :
( inner_point(X0,X1)
<=> ( ~ end_point(X0,X1)
& incident_c(X0,X1) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X2,X0] :
( inner_point(X2,X0)
<=> ( ~ end_point(X2,X0)
& incident_c(X2,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f121,plain,
! [X3,X0,X1] :
( ~ incident_c(X3,X1)
| incident_c(X3,X0)
| ~ part_of(X1,X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0,X1] :
( ( part_of(X1,X0)
| ( ~ incident_c(sK14(X0,X1),X0)
& incident_c(sK14(X0,X1),X1) ) )
& ( ! [X3] :
( incident_c(X3,X0)
| ~ incident_c(X3,X1) )
| ~ part_of(X1,X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f82,f83]) ).
fof(f83,plain,
! [X0,X1] :
( ? [X2] :
( ~ incident_c(X2,X0)
& incident_c(X2,X1) )
=> ( ~ incident_c(sK14(X0,X1),X0)
& incident_c(sK14(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f82,plain,
! [X0,X1] :
( ( part_of(X1,X0)
| ? [X2] :
( ~ incident_c(X2,X0)
& incident_c(X2,X1) ) )
& ( ! [X3] :
( incident_c(X3,X0)
| ~ incident_c(X3,X1) )
| ~ part_of(X1,X0) ) ),
inference(rectify,[],[f81]) ).
fof(f81,plain,
! [X0,X1] :
( ( part_of(X1,X0)
| ? [X2] :
( ~ incident_c(X2,X0)
& incident_c(X2,X1) ) )
& ( ! [X2] :
( incident_c(X2,X0)
| ~ incident_c(X2,X1) )
| ~ part_of(X1,X0) ) ),
inference(nnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0,X1] :
( part_of(X1,X0)
<=> ! [X2] :
( incident_c(X2,X0)
| ~ incident_c(X2,X1) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( part_of(X1,X0)
<=> ! [X2] :
( incident_c(X2,X1)
=> incident_c(X2,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f1580,plain,
( part_of(sK1,sK2)
| ~ spl17_76 ),
inference(avatar_component_clause,[],[f1578]) ).
fof(f1635,plain,
( spl17_45
| ~ spl17_73 ),
inference(avatar_split_clause,[],[f1603,f1564,f673]) ).
fof(f673,plain,
( spl17_45
<=> incident_c(sK6(sK2),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_45])]) ).
fof(f1603,plain,
( incident_c(sK6(sK2),sK1)
| ~ spl17_73 ),
inference(resolution,[],[f1566,f287]) ).
fof(f1566,plain,
( part_of(sK2,sK1)
| ~ spl17_73 ),
inference(avatar_component_clause,[],[f1564]) ).
fof(f887,plain,
( ~ spl17_44
| ~ spl17_45
| ~ spl17_4 ),
inference(avatar_split_clause,[],[f864,f160,f673,f669]) ).
fof(f669,plain,
( spl17_44
<=> incident_c(sK6(sK2),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_44])]) ).
fof(f160,plain,
( spl17_4
<=> meet(sK3,sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_4])]) ).
fof(f864,plain,
( ~ incident_c(sK6(sK2),sK1)
| ~ incident_c(sK6(sK2),sK2)
| ~ spl17_4 ),
inference(resolution,[],[f566,f164]) ).
fof(f164,plain,
! [X0] : ~ end_point(sK6(X0),X0),
inference(resolution,[],[f101,f111]) ).
fof(f111,plain,
! [X0,X1] :
( ~ inner_point(X0,X1)
| ~ end_point(X0,X1) ),
inference(cnf_transformation,[],[f75]) ).
fof(f566,plain,
( ! [X0] :
( end_point(X0,sK2)
| ~ incident_c(X0,sK1)
| ~ incident_c(X0,sK2) )
| ~ spl17_4 ),
inference(resolution,[],[f162,f127]) ).
fof(f127,plain,
! [X2,X0,X1,X4] :
( ~ meet(X0,X1,X2)
| ~ incident_c(X4,X2)
| ~ incident_c(X4,X1)
| end_point(X4,X2) ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0,X1,X2] :
( ( meet(X0,X1,X2)
| ( ( ~ end_point(sK15(X1,X2),X2)
| ~ end_point(sK15(X1,X2),X1) )
& incident_c(sK15(X1,X2),X2)
& incident_c(sK15(X1,X2),X1) )
| ~ incident_c(X0,X2)
| ~ incident_c(X0,X1) )
& ( ( ! [X4] :
( ( end_point(X4,X2)
& end_point(X4,X1) )
| ~ incident_c(X4,X2)
| ~ incident_c(X4,X1) )
& incident_c(X0,X2)
& incident_c(X0,X1) )
| ~ meet(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f87,f88]) ).
fof(f88,plain,
! [X1,X2] :
( ? [X3] :
( ( ~ end_point(X3,X2)
| ~ end_point(X3,X1) )
& incident_c(X3,X2)
& incident_c(X3,X1) )
=> ( ( ~ end_point(sK15(X1,X2),X2)
| ~ end_point(sK15(X1,X2),X1) )
& incident_c(sK15(X1,X2),X2)
& incident_c(sK15(X1,X2),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f87,plain,
! [X0,X1,X2] :
( ( meet(X0,X1,X2)
| ? [X3] :
( ( ~ end_point(X3,X2)
| ~ end_point(X3,X1) )
& incident_c(X3,X2)
& incident_c(X3,X1) )
| ~ incident_c(X0,X2)
| ~ incident_c(X0,X1) )
& ( ( ! [X4] :
( ( end_point(X4,X2)
& end_point(X4,X1) )
| ~ incident_c(X4,X2)
| ~ incident_c(X4,X1) )
& incident_c(X0,X2)
& incident_c(X0,X1) )
| ~ meet(X0,X1,X2) ) ),
inference(rectify,[],[f86]) ).
fof(f86,plain,
! [X0,X1,X2] :
( ( meet(X0,X1,X2)
| ? [X3] :
( ( ~ end_point(X3,X2)
| ~ end_point(X3,X1) )
& incident_c(X3,X2)
& incident_c(X3,X1) )
| ~ incident_c(X0,X2)
| ~ incident_c(X0,X1) )
& ( ( ! [X3] :
( ( end_point(X3,X2)
& end_point(X3,X1) )
| ~ incident_c(X3,X2)
| ~ incident_c(X3,X1) )
& incident_c(X0,X2)
& incident_c(X0,X1) )
| ~ meet(X0,X1,X2) ) ),
inference(flattening,[],[f85]) ).
fof(f85,plain,
! [X0,X1,X2] :
( ( meet(X0,X1,X2)
| ? [X3] :
( ( ~ end_point(X3,X2)
| ~ end_point(X3,X1) )
& incident_c(X3,X2)
& incident_c(X3,X1) )
| ~ incident_c(X0,X2)
| ~ incident_c(X0,X1) )
& ( ( ! [X3] :
( ( end_point(X3,X2)
& end_point(X3,X1) )
| ~ incident_c(X3,X2)
| ~ incident_c(X3,X1) )
& incident_c(X0,X2)
& incident_c(X0,X1) )
| ~ meet(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0,X1,X2] :
( meet(X0,X1,X2)
<=> ( ! [X3] :
( ( end_point(X3,X2)
& end_point(X3,X1) )
| ~ incident_c(X3,X2)
| ~ incident_c(X3,X1) )
& incident_c(X0,X2)
& incident_c(X0,X1) ) ),
inference(flattening,[],[f48]) ).
fof(f48,plain,
! [X0,X1,X2] :
( meet(X0,X1,X2)
<=> ( ! [X3] :
( ( end_point(X3,X2)
& end_point(X3,X1) )
| ~ incident_c(X3,X2)
| ~ incident_c(X3,X1) )
& incident_c(X0,X2)
& incident_c(X0,X1) ) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1,X2] :
( meet(X0,X1,X2)
<=> ( ! [X3] :
( ( incident_c(X3,X2)
& incident_c(X3,X1) )
=> ( end_point(X3,X2)
& end_point(X3,X1) ) )
& incident_c(X0,X2)
& incident_c(X0,X1) ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X2,X0,X1] :
( meet(X2,X0,X1)
<=> ( ! [X4] :
( ( incident_c(X4,X1)
& incident_c(X4,X0) )
=> ( end_point(X4,X1)
& end_point(X4,X0) ) )
& incident_c(X2,X1)
& incident_c(X2,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f162,plain,
( meet(sK3,sK1,sK2)
| ~ spl17_4 ),
inference(avatar_component_clause,[],[f160]) ).
fof(f886,plain,
spl17_44,
inference(avatar_contradiction_clause,[],[f884]) ).
fof(f884,plain,
( $false
| spl17_44 ),
inference(resolution,[],[f671,f165]) ).
fof(f671,plain,
( ~ incident_c(sK6(sK2),sK2)
| spl17_44 ),
inference(avatar_component_clause,[],[f669]) ).
fof(f687,plain,
( ~ spl17_46
| ~ spl17_33
| ~ spl17_4 ),
inference(avatar_split_clause,[],[f681,f160,f528,f684]) ).
fof(f528,plain,
( spl17_33
<=> incident_c(sK6(sK1),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_33])]) ).
fof(f681,plain,
( ~ incident_c(sK6(sK1),sK1)
| ~ incident_c(sK6(sK1),sK2)
| ~ spl17_4 ),
inference(resolution,[],[f567,f164]) ).
fof(f567,plain,
( ! [X0] :
( end_point(X0,sK1)
| ~ incident_c(X0,sK1)
| ~ incident_c(X0,sK2) )
| ~ spl17_4 ),
inference(resolution,[],[f162,f126]) ).
fof(f126,plain,
! [X2,X0,X1,X4] :
( ~ meet(X0,X1,X2)
| ~ incident_c(X4,X2)
| ~ incident_c(X4,X1)
| end_point(X4,X1) ),
inference(cnf_transformation,[],[f89]) ).
fof(f556,plain,
spl17_33,
inference(avatar_contradiction_clause,[],[f554]) ).
fof(f554,plain,
( $false
| spl17_33 ),
inference(resolution,[],[f530,f165]) ).
fof(f530,plain,
( ~ incident_c(sK6(sK1),sK1)
| spl17_33 ),
inference(avatar_component_clause,[],[f528]) ).
fof(f183,plain,
( spl17_7
| ~ spl17_4 ),
inference(avatar_split_clause,[],[f178,f160,f180]) ).
fof(f178,plain,
( incident_c(sK3,sK2)
| ~ spl17_4 ),
inference(resolution,[],[f125,f162]) ).
fof(f125,plain,
! [X2,X0,X1] :
( ~ meet(X0,X1,X2)
| incident_c(X0,X2) ),
inference(cnf_transformation,[],[f89]) ).
fof(f177,plain,
( spl17_6
| ~ spl17_4 ),
inference(avatar_split_clause,[],[f172,f160,f174]) ).
fof(f172,plain,
( incident_c(sK3,sK1)
| ~ spl17_4 ),
inference(resolution,[],[f124,f162]) ).
fof(f124,plain,
! [X2,X0,X1] :
( ~ meet(X0,X1,X2)
| incident_c(X0,X1) ),
inference(cnf_transformation,[],[f89]) ).
fof(f163,plain,
spl17_4,
inference(avatar_split_clause,[],[f95,f160]) ).
fof(f95,plain,
meet(sK3,sK1,sK2),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
( end_point(sK3,sK0)
& part_of(sK2,sK0)
& part_of(sK1,sK0)
& meet(sK3,sK1,sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f36,f56]) ).
fof(f56,plain,
( ? [X0,X1,X2,X3] :
( end_point(X3,X0)
& part_of(X2,X0)
& part_of(X1,X0)
& meet(X3,X1,X2) )
=> ( end_point(sK3,sK0)
& part_of(sK2,sK0)
& part_of(sK1,sK0)
& meet(sK3,sK1,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f36,plain,
? [X0,X1,X2,X3] :
( end_point(X3,X0)
& part_of(X2,X0)
& part_of(X1,X0)
& meet(X3,X1,X2) ),
inference(flattening,[],[f35]) ).
fof(f35,plain,
? [X0,X1,X2,X3] :
( end_point(X3,X0)
& part_of(X2,X0)
& part_of(X1,X0)
& meet(X3,X1,X2) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,plain,
~ ! [X0,X1,X2,X3] :
( ( part_of(X2,X0)
& part_of(X1,X0)
& meet(X3,X1,X2) )
=> ~ end_point(X3,X0) ),
inference(rectify,[],[f18]) ).
fof(f18,negated_conjecture,
~ ! [X0,X1,X3,X2] :
( ( part_of(X3,X0)
& part_of(X1,X0)
& meet(X2,X1,X3) )
=> ~ end_point(X2,X0) ),
inference(negated_conjecture,[],[f17]) ).
fof(f17,conjecture,
! [X0,X1,X3,X2] :
( ( part_of(X3,X0)
& part_of(X1,X0)
& meet(X2,X1,X3) )
=> ~ end_point(X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f158,plain,
spl17_3,
inference(avatar_split_clause,[],[f96,f155]) ).
fof(f96,plain,
part_of(sK1,sK0),
inference(cnf_transformation,[],[f57]) ).
fof(f153,plain,
spl17_2,
inference(avatar_split_clause,[],[f97,f150]) ).
fof(f97,plain,
part_of(sK2,sK0),
inference(cnf_transformation,[],[f57]) ).
fof(f148,plain,
spl17_1,
inference(avatar_split_clause,[],[f98,f145]) ).
fof(f98,plain,
end_point(sK3,sK0),
inference(cnf_transformation,[],[f57]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GEO094+1 : TPTP v8.2.0. Released v2.4.0.
% 0.12/0.13 % Command : run_vampire %s %d THM
% 0.12/0.34 % Computer : n025.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Jun 21 06:10:24 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.12/0.36 Running first-order theorem proving
% 0.12/0.36 Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.23/0.43 % (27319)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.43 % (27329)lrs+1010_1:1_to=lpo:sil=2000:plsq=on:plsqr=32,1:sp=reverse_arity:sos=on:spb=goal_then_units:i=128:ss=axioms:sgt=50:bd=off:sd=3_0 on theBenchmark for (2999ds/128Mi)
% 0.23/0.43 % (27319)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.43 % (27327)lrs+1011_1:1_sil=32000:rnwc=on:nwc=10.0:lwlo=on:i=121:bd=off:av=off_0 on theBenchmark for (2999ds/121Mi)
% 0.23/0.43 % (27319)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.43 % (27328)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=113:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2999ds/113Mi)
% 0.23/0.43 % (27319)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.43 % (27325)lrs+11_1:16_to=lpo:drc=off:bsd=on:sp=frequency:i=172350:bs=on:av=off:fsd=on:sil=256000:fdi=50_0 on theBenchmark for (2999ds/172350Mi)
% 0.23/0.43 % (27319)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.43 % (27323)lrs+2_5:39_bsr=unit_only:to=lpo:drc=off:sil=128000:plsq=on:plsqr=2,19:sp=frequency:lcm=reverse:fd=preordered:s2a=on:i=38749:s2at=-1.0:fsr=off:uhcvi=on:rawr=on:aer=off:lwlo=on:add=off:bce=on:acc=model:afr=on_0 on theBenchmark for (2999ds/38749Mi)
% 0.23/0.43 % (27319)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.43 % (27324)lrs+1002_74:59_drc=off:tgt=full:sos=all:cond=fast:i=124987:kws=inv_frequency:afp=300:afq=2.0744697298148953:rawr=on:urr=full:sil=128000:si=on:rtra=on:random_seed=3250543_0 on theBenchmark for (2999ds/124987Mi)
% 0.23/0.44 % (27319)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.44 % (27326)lrs+1011_1:1_sil=2000:i=103:ep=RS:nm=32:ss=axioms:sos=on_0 on theBenchmark for (2999ds/103Mi)
% 0.23/0.48 % (27328)Instruction limit reached!
% 0.23/0.48 % (27328)------------------------------
% 0.23/0.48 % (27328)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.23/0.48 % (27328)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.23/0.48 % (27328)Termination reason: Time limit
% 0.23/0.48 % (27328)Termination phase: Saturation
% 0.23/0.48
% 0.23/0.48 % (27328)Memory used [KB]: 1667
% 0.23/0.48 % (27328)Time elapsed: 0.055 s
% 0.23/0.48 % (27328)Instructions burned: 114 (million)
% 0.23/0.48 % (27329)Instruction limit reached!
% 0.23/0.48 % (27329)------------------------------
% 0.23/0.48 % (27329)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.23/0.48 % (27329)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.23/0.48 % (27329)Termination reason: Time limit
% 0.23/0.48 % (27329)Termination phase: Saturation
% 0.23/0.48
% 0.23/0.48 % (27329)Memory used [KB]: 1873
% 0.23/0.48 % (27329)Time elapsed: 0.058 s
% 0.23/0.48 % (27329)Instructions burned: 129 (million)
% 0.23/0.49 % (27326)Instruction limit reached!
% 0.23/0.49 % (27326)------------------------------
% 0.23/0.49 % (27326)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.23/0.49 % (27326)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.23/0.49 % (27326)Termination reason: Time limit
% 0.23/0.49 % (27326)Termination phase: Saturation
% 0.23/0.49
% 0.23/0.49 % (27326)Memory used [KB]: 2516
% 0.23/0.49 % (27326)Time elapsed: 0.052 s
% 0.23/0.49 % (27326)Instructions burned: 104 (million)
% 0.23/0.49 % (27327)Instruction limit reached!
% 0.23/0.49 % (27327)------------------------------
% 0.23/0.49 % (27327)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.23/0.49 % (27327)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.23/0.49 % (27327)Termination reason: Time limit
% 0.23/0.49 % (27327)Termination phase: Saturation
% 0.23/0.49
% 0.23/0.49 % (27327)Memory used [KB]: 1978
% 0.23/0.49 % (27327)Time elapsed: 0.060 s
% 0.23/0.49 % (27327)Instructions burned: 121 (million)
% 0.23/0.50 % (27323)First to succeed.
% 0.23/0.50 % (27323)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-27319"
% 0.23/0.50 % (27319)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.50 % (27323)Refutation found. Thanks to Tanya!
% 0.23/0.50 % SZS status Theorem for theBenchmark
% 0.23/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.50 % (27323)------------------------------
% 0.23/0.50 % (27323)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.23/0.50 % (27323)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.23/0.50 % (27323)Termination reason: Refutation
% 0.23/0.50
% 0.23/0.50 % (27323)Memory used [KB]: 2433
% 0.23/0.50 % (27323)Time elapsed: 0.074 s
% 0.23/0.50 % (27323)Instructions burned: 130 (million)
% 0.23/0.50 % (27323)------------------------------
% 0.23/0.50 % (27323)------------------------------
% 0.23/0.50 % (27319)Success in time 0.128 s
%------------------------------------------------------------------------------